I don't have any experience with the 220i engine, but I'm almost certain that it is a version of the GY6-B engine (sometimes known as a GY6-200) which should use the same transmission parts as a standard GY6. The main difference between it and a standard GY6 is the cylinder stud spacing. The GY6-B studs are further apart allowing bigger bore sizes. The variator may use larger rollers and belt though. If you have a way of measuring the diameter of the variator and clutch bell, I can probably tell you if it's standard stuff or not.
When my current 180 engine wears out, I'll consider building a 239cc GY6-B engine to replace it.
To answer your question about a more positive clutch lock-up, the so called racing clutches with larger friction pads do lock-up harder and faster, at least mine does. But, being a "racing" clutch, they usually have heavier springs to allow the engine to rev higher before engagement begins. Mine allowed the engine to rev to around 7k before engaging. A bit much for city riding so I changed to 1500 rpm springs instead of the 2000 rpm that it came with. If you do that though, you're going to sacrifice some low speed smoothness with such a set up. There will be situations where the drivetrain will stutter as the clutch grabs and lets go due to the lower engagement rpms.
Dooglas: thanks for the kind words - that I'm basically long winded, lol

Some people can break a crowbar in a sandbox.